QCD Decoupling at Four Loops
K. G. Chetyrkin, J. H. Kühn, C. Sturm
Abstract
We present the matching condition for the strong coupling contant alphas at a heavy quark threshold to four loops in the modified minimal subtraction scheme. Our results lead to further decrease of the theoretical uncertainty of the evolution of the strong coupling constant through heavy quark thresholds. Using a low energy theorem we furthermore derive the effective coupling of the Higgs boson to gluons (induced by a virtual heavy quark) in four- and (partially) through five-loop approximation.
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